Acceleration on Inclined Plane – Rankers Physics

Friction: Practice Problem & Solution

Assertion (A): The acceleration of a body moving down on a rough inclined plane is greater than the acceleration due to gravity. Reason (R): The body is able to slide on an inclined plane only when its acceleration is greater than acceleration due to gravity.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Friction. Understanding the underlying formula is key to arriving at the correct answer below:

Assertion (A) is false. The acceleration of a body on a rough inclined plane is \(a = g(\sin\theta - \mu\cos\theta)\), which is always less than \(g\).
Reason (R) is also false. A body slides when the component of gravity along the plane overcomes static friction, not when its acceleration is greater than \(g\). Thus, both (A) and (R) are false.

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